A square root of a number is a number that is multiplied be its self.
√324 is 8 because 82=324
problem
1. 25
2. 169
3. 900
answers
1. 13
2. 17
3. 30
9.2-simplifing-square roots
√180 simplified is √36 ×√5 square rooted can be simplified down to 6√5
Take the square root and simplify it down into numbers that cannot be simplified any more.
Problem
After a car accident, a police officer measures the length of L in feet of the cars skid marks. The expression 27L gives the cars speed in miles per hour at the time when the breaks were applied.
Answer 27L= 9*3*1
=9*3L
=3 3L
9.4-real numbers
All real numbers consist of irrational and irrational
A rational number is a number that can be written as a quotient of two integers
An irrational number is a number that cannot be written as a quotient of two integers.
Problem
A. 8/5
B. 5/6
C. √19
Answers A=rational because the number is a terminating decimal
B=rational because it is a repeating decimal
C=irrational because it is a non-terminating and non-repeating decimal.
9.5-The Distance and Midpoint Formulas
.the distance is the length between two points.
The formula for the distance of a line is D=√ (x2-x1)2+ (y2-y1)2
Problem M (6, 3) and N (5, 7)
(5-6) + (7-3)
(-1) +4
1+16
17
The midpoint is a point on a line that has equal amounts of space on either side of the point.
9.1-square roots
A square root of a number is a number that is multiplied be its self.
√324 is 8 because 82=324
problem
1. 25
2. 169
3. 900
answers
1. 13
2. 17
3. 309.2-simplifing-square roots
√180 simplified is √36 ×√5 square rooted can be simplified down to 6√5
Take the square root and simplify it down into numbers that cannot be simplified any more.
Problem
After a car accident, a police officer measures the length of L in feet of the cars skid marks. The expression 27L gives the cars speed in miles per hour at the time when the breaks were applied.
Answer 27L= 9*3*1
=9*3L
=3 3L
9.4-real numbers
All real numbers consist of irrational and irrational
A rational number is a number that can be written as a quotient of two integers
An irrational number is a number that cannot be written as a quotient of two integers.
Problem
A. 8/5
B. 5/6
C. √19
Answers A=rational because the number is a terminating decimal
B=rational because it is a repeating decimal
C=irrational because it is a non-terminating and non-repeating decimal.
9.5-The Distance and Midpoint Formulas
.the distance is the length between two points.
The formula for the distance of a line is D=√ (x2-x1)2+ (y2-y1)2
Problem M (6, 3) and N (5, 7)
(5-6) + (7-3)
(-1) +4
1+16
17
The midpoint is a point on a line that has equal amounts of space on either side of the point.
Midpoint formulas (x +x /2, y +y /2)
Problem endpoints (3, 8) and (-9,-4)
M= (3+ (-9)/2, 8+ (-4)/2)
= (-3, 2)